Triple

T19132888
Position Surface form Disambiguated ID Type / Status
Subject Chandrasekhar’s theory of ellipsoidal figures of equilibrium E468357 entity
Predicate studies P1945 FINISHED
Object Maclaurin sequence — NE NERFINISHED

How this triple was built (3 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Maclaurin sequence | Statement: [Chandrasekhar’s theory of ellipsoidal figures of equilibrium, studies, Maclaurin sequence]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Maclaurin sequence
Context triple: [Chandrasekhar’s theory of ellipsoidal figures of equilibrium, studies, Maclaurin sequence]
  • A. MacLaurin
    MacLaurin is a Scottish surname historically linked to Clan MacLaren and borne by members and descendants of that Highland clan.
  • B. Taylor series
    A Taylor series is an infinite sum of terms calculated from the derivatives of a function at a single point, used to represent and approximate functions as power series.
  • C. Neumann series
    The Neumann series is an infinite series expansion used to represent the inverse of an operator or solve integral and differential equations, analogous to a geometric series in functional analysis.
  • D. Euler–Maclaurin summation formula
    The Euler–Maclaurin summation formula is a fundamental result in analysis that connects sums and integrals, providing powerful asymptotic expansions and error estimates for approximating series by integrals.
  • E. Puiseux series
    Puiseux series are formal power series in fractional powers of a variable, widely used in algebraic geometry and singularity theory to locally parametrize algebraic curves.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Maclaurin sequence
Target entity description: The Maclaurin sequence is the family of uniformly rotating, self-gravitating fluid spheroids that generalizes the spherical equilibrium figure and plays a central role in the theory of rotating stars and planets.
  • A. MacLaurin
    MacLaurin is a Scottish surname historically linked to Clan MacLaren and borne by members and descendants of that Highland clan.
  • B. Taylor series
    A Taylor series is an infinite sum of terms calculated from the derivatives of a function at a single point, used to represent and approximate functions as power series.
  • C. Neumann series
    The Neumann series is an infinite series expansion used to represent the inverse of an operator or solve integral and differential equations, analogous to a geometric series in functional analysis.
  • D. Euler–Maclaurin summation formula
    The Euler–Maclaurin summation formula is a fundamental result in analysis that connects sums and integrals, providing powerful asymptotic expansions and error estimates for approximating series by integrals.
  • E. Puiseux series
    Puiseux series are formal power series in fractional powers of a variable, widely used in algebraic geometry and singularity theory to locally parametrize algebraic curves.
  • F. None of above. chosen

Provenance (2 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d8dd0796a48190b34ce4cd9d3f3be5 completed April 10, 2026, 11:20 a.m.
NER Named-entity recognition batch_69e5e3ea82f08190811ef35fbae744d1 completed April 20, 2026, 8:29 a.m.
Created at: April 10, 2026, 12:05 p.m.